Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
201101	Find the Roots (Zeros)	f(x)=tan(pi/2x)	$f (x) = \tan (\frac{π}{2} x)$
201102	Simplify	i square root of 8*i square root of 2	$i \sqrt{8} \cdot i \sqrt{2}$
201103	Write as a Single Logarithm	12(1/2 log of x+y-1/6 log of x-y)	$12 (\frac{1}{2} \log (x + y) - \frac{1}{6} \log (x - y))$
201104	Simplify	((3rs^2t^4)^2)/(21r^2s^3t^11)	$\frac{{(3 r s^{2} t^{4})}^{2}}{21 r^{2} s^{3} t^{11}}$
201105	Simplify the Radical Expression	fourth root of (x^8)/(y^4)	$\sqrt[4]{\frac{x^{8}}{y^{4}}}$
201106	Simplify	-(-7x)-(-(6-5x))	$- (- 7 x) - (- (6 - 5 x))$
201107	Simplify	((a+b)^3(a-b)^-2)/((a+b)^2(a-b)^0)	$\frac{{(a + b)}^{3} {(a - b)}^{- 2}}{{(a + b)}^{2} {(a - b)}^{0}}$
201108	Find All Complex Solutions	-2cos(theta)^2+sin(theta)+1=0	$- 2 \cos^{2} (θ) + \sin (θ) + 1 = 0$
201109	Solve for h	2+18h=9h+11	$2 + 18 h = 9 h + 11$
201110	Simplify	cube root of 24+ square root of 80+6 square root of 40	$\sqrt[3]{24} + \sqrt{80} + 6 \sqrt{40}$
201111	Simplify	1/(x-4)+3/5	$\frac{1}{x - 4} + \frac{3}{5}$
201112	Evaluate	2x-31=3(x+2)	$2 x - 31 = 3 (x + 2)$
201113	Graph	y<=3/2x+2 y>-x+5	$y \leq \frac{3}{2} x + 2$ $y > - x + 5$
201114	Solve for x	8x(2x^3+3x-1)-4x^2(4x^2+6)+8=32	$8 x (2 x^{3} + 3 x - 1) - 4 x^{2} (4 x^{2} + 6) + 8 = 32$
201115	Convert to Radical Form	((4a^4)/(5b^5))^(-3/3)	${(\frac{4 a^{4}}{5 b^{5}})}^{- \frac{3}{3}}$
201116	Simplify	4x^7y^6+9x^3y*2x^4y^5	$4 x^{7} y^{6} + 9 x^{3} y \cdot 2 x^{4} y^{5}$
201117	Solve for x	16^(3x)=(2^(5x+2))(8^(2x))	$16^{3 x} = (2^{5 x + 2}) (8^{2 x})$
201118	Graph	yy<=-2x-2	$y \cdot y \leq - 2 x - 2$
201119	Simplify	11/(8x^3)-3/(2x)	$\frac{11}{8 x^{3}} - \frac{3}{2 x}$
201120	Solve for R	IR=V	$I R = V$
201121	Graph	y>=-1 5x+3y>-18	$y \geq - 1$ $5 x + 3 y > - 18$
201122	Simplify	square root of 2x+ square root of 8x- square root of 4x	$\sqrt{2 x} + \sqrt{8 x} - \sqrt{4 x}$
201123	Solve for x	2-3(2x-1)=-6x+5	$2 - 3 (2 x - 1) = - 6 x + 5$
201124	Solve the Inequality for y	1.6-(3-2y)<5	$1.6 - (3 - 2 y) < 5$
201125	Graph	y<2/3x-1 y>=-4/3x+2	$y < \frac{2}{3} x - 1$ $y \geq - \frac{4}{3} x + 2$
201126	Subtract	(2x^4+x^3-3x+8)-(x^4-x^3-6x^2+7x)	$(2 x^{4} + x^{3} - 3 x + 8) - (x^{4} - x^{3} - 6 x^{2} + 7 x)$
201127	Solve for x	2/3+x/5=6	$\frac{2}{3} + \frac{x}{5} = 6$
201128	Solve for x	(2x-3)/(5x)=11/2	$\frac{2 x - 3}{5 x} = \frac{11}{2}$
201129	Simplify	(x(x+1))/(x^3(x+1))	$\frac{x (x + 1)}{x^{3} (x + 1)}$
201130	Solve the Inequality for c	-11>-c/11	$- 11 > - \frac{c}{11}$
201131	Simplify the Radical Expression	( cube root of 10y)^3	${(\sqrt[3]{10 y})}^{3}$
201132	Simplify	5^0*2^-3	$5^{0} \cdot 2^{- 3}$
201133	Simplify	(6a^-1c^-3)/(d^0)	$\frac{6 a^{- 1} c^{- 3}}{d^{0}}$
201134	Simplify	(9^-2)/(3^-3)	$\frac{(9^{- 2})}{(3^{- 3})}$
201135	Solve for y	3/4=y-1/5*8	$\frac{3}{4} = y - \frac{1}{5} \cdot 8$
201136	Solve for x	60/(x-1)=36/(x-1)+12	$\frac{60}{x - 1} = \frac{36}{x - 1} + 12$
201137	Solve for x	5\|x-3\|<=20	$5 \| x - 3 \| \leq 20$
201138	Find the Exact Value	(5/8-1/3)÷(2/5+1)	$(\frac{5}{8} - \frac{1}{3}) \div (\frac{2}{5} + 1)$
201139	Simplify	(12y)/(5x)+(5x)/(4y^3)	$\frac{12 y}{5 x} + \frac{5 x}{4 y^{3}}$
201140	Simplify	((a^2b)/(a^-3b^2))^-1	${(\frac{a^{2} b}{a^{- 3} b^{2}})}^{- 1}$
201141	Solve the Inequality for d	d+12<19	$d + 12 < 19$
201142	Write in Standard Form	f(x)=-(x-3)(x-5)	$f (x) = - (x - 3) (x - 5)$
201143	Solve for x	square root of x+2+1 = square root of 3-x	$\sqrt{x + 2} + 1 = \sqrt{3 - x}$
201144	Solve the Inequality for x	1/16*(1/8)^x<=(1/4)^x	$\frac{1}{16} \cdot {(\frac{1}{8})}^{x} \leq {(\frac{1}{4})}^{x}$
201145	Solve for w	w+\|-2.8\|=4.3	$w + \| - 2.8 \| = 4.3$
201146	Simplify	15+8 square root of 7+ square root of 112	$15 + 8 \sqrt{7} + \sqrt{112}$
201147	Simplify	2/5(10x+3/4)-2x	$\frac{2}{5} (10 x + \frac{3}{4}) - 2 x$
201148	Graph	y>-0.5 square root of x+1-4	$y > - 0.5 \sqrt{x + 1} - 4$
201149	Find f(g(x))	f(x)=3x+5 and g(x)=5x-1	$f (x) = 3 x + 5$ and $g (x) = 5 x - 1$
201150	Solve for g	-7g=3g+8(-g+2)	$- 7 g = 3 g + 8 (- g + 2)$
201151	Find the Exact Value	(4((2-5)^3-4(1/2-5/3)^2)+3(2/6))- square root of 4	$(4 ({(2 - 5)}^{3} - 4 {(\frac{1}{2} - \frac{5}{3})}^{2}) + 3 (\frac{2}{6})) - \sqrt{4}$
201152	Simplify the Radical Expression	cube root of 2^4*5^5	$\sqrt[3]{2^{4} \cdot 5^{5}}$
201153	Solve the System of Inequalities	5x+11>=-9 and 10x-3<=27	$5 x + 11 \geq - 9$ and $10 x - 3 \leq 27$
201154	Simplify	(125^8)/(5^2)	$\frac{125^{8}}{5^{2}}$
201155	Write in Standard Form	y=x(x^2-5)	$y = x (x^{2} - 5)$
201156	Simplify	(12mn)(-m^3n^-2p^5)(2m)	$(12 m n) (- m^{3} n^{- 2} p^{5}) (2 m)$
201157	Simplify	2(10)+2(x-4)	$2 (10) + 2 (x - 4)$
201158	Solve for a	2/a+1/b=13/15	$\frac{2}{a} + \frac{1}{b} = \frac{13}{15}$
201159	Simplify	-9x^2(2x^5+4x^3-2x)-3x^4(2x^3-5x+6)	$- 9 x^{2} (2 x^{5} + 4 x^{3} - 2 x) - 3 x^{4} (2 x^{3} - 5 x + 6)$
201160	Write in Slope-Intercept Form	3y-24=x	$3 y - 24 = x$
201161	Simplify	3/( fourth root of 4a^4)	$\frac{3}{\sqrt[4]{4 a^{4}}}$
201162	Simplify	(x+2)/(2x-8)+x/(2x-8)	$\frac{x + 2}{2 x - 8} + \frac{x}{2 x - 8}$
201163	Factor	15x^(2c+3)-25x^(c+1)	$15 x^{2 c + 3} - 25 x^{c + 1}$
201164	Evaluate	5+3^-2	$5 + 3^{- 2}$
201165	Evaluate	( log of 64)/( log of 8)	$\frac{\log (64)}{\log (8)}$
201166	Simplify	((12p^(3/2))/(15p))^4	${(\frac{12 p^{\frac{3}{2}}}{15 p})}^{4}$
201167	Describe the Transformation	f(x)=7^(-3/2x)+3	$f (x) = 7^{- \frac{3}{2} x} + 3$
201168	Simplify	3(5x^2+2x-4)-x(7x^2+2x-3)	$3 (5 x^{2} + 2 x - 4) - x (7 x^{2} + 2 x - 3)$
201169	Simplify	cube root of (27(2)^4)/((3)^6)	$\sqrt[3]{\frac{27 {(2)}^{4}}{{(3)}^{6}}}$
201170	Simplify	((14x+7)/x)÷(21/(2x))	$\frac{14 x + 7}{x} \div \frac{21}{2 x}$
201171	Simplify	x/(2x-5)-(4x+15)/(4x^2-25)	$\frac{x}{2 x - 5} - \frac{4 x + 15}{4 x^{2} - 25}$
201172	Solve for m	(6m+6)=(14m-2)	$(6 m + 6) = (14 m - 2)$
201173	Solve for y	T=1/2h(x+y)	$T = \frac{1}{2} h (x + y)$
201174	Write in Standard Form	2ab+a^3+5a^2b^2-2b^3	$2 a b + a^{3} + 5 a^{2} b^{2} - 2 b^{3}$
201175	Solve for x	(x-5)^2-x^2=3	${(x - 5)}^{2} - x^{2} = 3$
201176	Simplify	(5/(x+3))/(2+1/(x+3))	$\frac{\frac{5}{x + 3}}{2 + \frac{1}{x + 3}}$
201177	Solve the Inequality for x	3<=1/3+x	$3 \leq \frac{1}{3} + x$
201178	Solve for x	1/2 natural log of x+3- natural log of x=0	$\frac{1}{2} \ln (x + 3) - \ln (x) = 0$
201179	Solve for y	1/3=1/(9y)	$\frac{1}{3} = \frac{1}{9 y}$
201180	Solve for s	0.8+s=9(0.2s+0.8)	$0.8 + s = 9 (0.2 s + 0.8)$
201181	Solve for p	-4(-3p+6)-5p=10p	$- 4 (- 3 p + 6) - 5 p = 10 p$
201182	Simplify	((4m^8y^12)/(8p^20))^(1/4)	${(\frac{4 m^{8} y^{12}}{8 p^{20}})}^{\frac{1}{4}}$
201183	Simplify the Radical Expression	cube root of 3/5	$\sqrt[3]{\frac{3}{5}}$
201184	Evaluate	2^42^5=(22)^(4+5)	$2^{4} \cdot 2^{5} = {(2 \cdot 2)}^{4 + 5}$
201185	Simplify	(12x)÷((6x)/(x+6))	$12 x \div \frac{6 x}{x + 6}$
201186	Write in Standard Form	(310^2)(1.510^-5)	$(3 \times 10^{2}) (1.5 \times 10^{- 5})$
201187	Graph	(6x^(-)*2)^2(0.5x)^4	${(6 x^{-} \cdot 2)}^{2} {(0.5 x)}^{4}$
201188	Find the Intersection	y>x-5 y>=-2x	$y > x - 5$ $y \geq - 2 x$
201189	Solve the System of Equations	x-y=1 y=5	$x - y = 1$ $y = 5$
201190	Simplify	1/(5y^4)+2/(y^3)	$\frac{1}{5 y^{4}} + \frac{2}{y^{3}}$
201191	Graph	y>=-3/5x-1 y<=-5/3x+2	$y \geq - \frac{3}{5} x - 1$ $y \leq - \frac{5}{3} x + 2$
201192	Solve for x	4.2/(3x)=7	$\frac{4.2}{3 x} = 7$
201193	Factor	2xy+x^2y-6-3x	$2 x y + x^{2} y - 6 - 3 x$
201194	Solve the System of Equations	-4x+2y=0 10x+3y=8	$- 4 x + 2 y = 0$ $10 x + 3 y = 8$
201195	Simplify	(z-5/3)(z-2/3)	$(z - \frac{5}{3}) (z - \frac{2}{3})$
201196	Simplify	( square root of 3+5)/(2 square root of 3)	$\frac{\sqrt{3} + 5}{2 \sqrt{3}}$
201197	Solve for q	8q-8=-4(-5q-10)	$8 q - 8 = - 4 (- 5 q - 10)$
201198	Solve the Rational Equation for x	(x^2-7x-18)/(x+2)=x-9	$\frac{x^{2} - 7 x - 18}{x + 2} = x - 9$
201199	Simplify the Radical Expression	-2 square root of 20+2 square root of 18-2 square root of 5	$- 2 \sqrt{20} + 2 \sqrt{18} - 2 \sqrt{5}$
201200	Solve for x	square root of x^2+3x=2x	$\sqrt{x^{2} + 3 x} = 2 x$